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What is the slope of the line that passes through the points and
? Write your answer in simplest form.
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Ask by Vega Hills. in the United States
Nov 01,2024

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The slope of the line is .

Solución

To find the slope of the line that passes through the points and , we can use the formula for the slope between two points and :
Here, we can assign:
Now, substituting the values into the slope formula:
Calculating the differences:
Simplifying the fraction:
Thus, the slope of the line that passes through the points and is

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Beyond the Answer

To find the slope of a line passing through two points, you can use the formula . For your points and , the calculation goes like this: , , , . Plugging into the formula gives . So the slope is !
Understanding slope is essential! In real-life, it’s often used in construction and engineering, to determine how steep a ramp should be or even in architecture to calculate roof angles. Knowing how to compute slope can help ensure that your projects are both functional and safe!
Another fun fact: the concept of slope has been around for centuries, with mathematical discussions dating back to ancient civilizations! Early geometers like Euclid employed similar ideas in their work with lines and shapes, which laid the groundwork for today’s algebra and calculus. It’s fascinating to realize how these ideas have stood the test of time!

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